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关于抽象函数的Riemann积分性质的探讨
抽象函数 Riemann积分 算子半群 强连续
2011/10/26
本文从数值函数Riemann积分的角度出发，研究了抽象函数Riemann积分的性质方面的问题。与同类研究相比，本文旨在突出研讨抽象函数Riemann积分在线性算子半群理论应用的重要性。本文所给结论的证明多数与数值函数Riemann积分中证明方法无异。本项研究结果可望对相关研究产生积极影响，这些影响主要体现在算子半群理论的研究。
The Hessenberg matrix and the Riemann mapping
Hessenberg matrix Riemann mapping Spectral Theory
2011/9/29
Abstract: We show in this paper that, if \mu is a regular measure whose support is a Jordan arc or a connected finite union of Jordan arcs in the complex plane \mathbb{C}, then the limits of the eleme...
Jacob's ladders and the three-points interaction of the Riemann zeta-function with itself
Riemann zeta-function Jacob's ladders Classical Analysis and ODEs
2011/9/21
Abstract: It is proved that some set of the values of $|\zeta(\sigma_0+i\vp_1(t))|^2$ on every fixed line $\sigma=\sigma_0>1$ generates a corresponding set of the values of $|\zeta(\frac 12+it)|^2$ on...
Existence and computation of Riemann-Stieltjes integrals through Riemann integrals
Riemann-Stieltjes integrals Riemann integrals Classical Analysis and ODEs
2011/9/1
Abstract: We study the existence of Riemann-Stieltjes integrals of bounded functions against a given integrator. We are also concerned with the possibility of computing the resulting integrals by mean...
本文首先建立了实值非负函数关于集值序增函数的集值Riemann-Stieltjes积分,并讨论了集值Riemann-Stieltjes积分的性质,给出了集值Riemann-Stieltjes可积的充要条件,最后引入了集值Riemann-Stieltjes随机积分.
Operators on Differential form Spaces for Riemann Surfaces
Riemann surface Composition operator Toeplitz operator
2007/12/11
In the present paper, a problem of Ioana Mihaila is negatively answered on the invertibility of composition operators on Riemann surfaces, and it is proved that the composition operator $C_{\rho }$ is...